Finding the Fourth Proportional to 12,785.50, 17,646.42 and 7,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,785.50 : 17,646.42 = 7,196.50 : x
2. Step 2: Convert to fraction form
   12,785.50/17,646.42 = 7,196.50/x
3. Step 3: Cross multiply
   12,785.50x = 17,646.42 × 7,196.50
4. Step 4: Simplify right side
   12,785.50x = 126,992,461.53
5. Step 5: Solve for x
   x = 126,992,461.53/12,785.50
6. Step 6: Final answer
   x = 9,932.54